Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2448/194, 2292/7850 quickly i.e. 233784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2448/194, 2292/7850 is 233784.
LCM(2448/194, 2292/7850) = 233784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2448/194,2292/7850
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 2448,2292
Least Common Multiple of Numerators i.e. LCM of 2448,2292 is 467568.
GCF of Denominators means GCF of 194,7850 as per the given fractions.
GCF of 194,7850 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2448,2292
2 | 2448, 2292 |
2 | 1224, 1146 |
3 | 612, 573 |
204, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 204 x 191 = 467568
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 2448,2292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2448,2292) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(2448,2292) x common factors =12 x 1 = 12
LCM(2448,2292) = ( 2448 × 2292 ) / 12
LCM(2448,2292) = 5610816 / 12
LCM(2448,2292) = 467568
Lets's calculate GCF of 194,7850
2 | 194, 7850 |
97, 3925 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467568/2
Therefore the LCM of Fractions 2448/194,2292/7850 is 233784
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 7850
List of positive integer factors of 7850 that divides 7850 without a remainder.
1,2,5,10,25,50,157,314,785,1570,3925,7850
Greatest Common Factor
We found the factors 194,7850 . The biggest common factor number is the GCF number.
So the greatest common factor 194,7850 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 2448/194, 2292/7850?
Answer: LCM of Numerators as per given numbers 2448/194, 2292/7850 is
LCM of Numerators i.e. for 2448,2292 is 467568
GCF of denominators i.e. for 194,7850 is 2.
Thus, LCM of Fractions is 233784.Finally, LCM of Fractions for 2448/194, 2292/7850 is 233784.